Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2.38 parts per million and the standard deviation is 2.12 parts per million. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2.38 parts per million and the standard deviation is 2.12 parts per million. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than
normally distributed.
2.33
parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of
64
cities is
2.38
parts per million and the standard deviation is
2.12
parts per million. At
α=0.01,
can the claim be supported? Complete parts (a) through (e) below. Assume the population is Question content area bottom
Part 1
(a) Identify the claim and state
H0
and
Ha.
Which of the following correctly states
H0
and
Ha?
H0:
|
▼
sigmaσ
sigma squaredσ2
pp
muμ
▼
less than<
greater than>
less than or equals≤
greater than or equals≥
not equals≠
equals=
|
Ha:
|
▼
muμ
pp
sigma squaredσ2
sigmaσ
▼
equals=
greater than>
greater than or equals≥
not equals≠
less than<
less than or equals≤
|
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
▼
alternative
null
Part 2
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are
t0=enter your response here
.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Part 3
Choose the graph which shows the rejection region.
t0
t<t0
−t0
t0
t<−t0, t>t0
t0
t>t0
−t0
t0
−t0<t<t0
Part 4
(c) Find the standardized test statistic, t.
The standardized test statistic is
t=enter your response here
.
(Round to two decimal places as needed.)
Part 5
(d) Decide whether to reject or fail to reject the null hypothesis.
▼
Reject
Fail to reject
H0
because the standardized test statistic
▼
is
is not
Part 6
(e) Interpret the decision in the context of the original claim.
There
enough evidence at the
the claim that the mean amount of carbon monoxide in the air in U.S. cities is
▼
is
is not
enter your response here
%
level of significance to
▼
supportsupport
rejectreject
▼
not equal
greater than
greater than or equal
less than
equal
less than or equal
enter your response here
parts per million.(Type integers or decimals. Do not round.)
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